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We consider a stochastic process model with time trend and measurement error. We establish consistency and derive the limiting distributions of the maximum likelihood (ML) estimators of the covariance function parameters under a general…

Statistics Theory · Mathematics 2016-09-29 Chih-Hao Chang , Hsin-Cheng Huang , Ching-Kang Ing

Given a graph with node attributes, what neighborhoods are anomalous? To answer this question, one needs a quality score that utilizes both structure and attributes. Popular existing measures either quantify the structure only and ignore…

Social and Information Networks · Computer Science 2016-01-26 Bryan Perozzi , Leman Akoglu

Counts-in-cells (CIC) measurements contain a wealth of cosmological information yet are seldom used to constrain theories. Although we can predict the shape of the distribution for a given cosmology, to fit a model to the observed CIC…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-02 Andrew Repp , István Szapudi

We propose a monitoring strategy for efficient and robust estimation of disease prevalence and case numbers within closed and enumerated populations such as schools, workplaces, or retirement communities. The proposed design relies largely…

Methodology · Statistics 2024-04-22 Robert H. Lyles , Yuzi Zhang , Lin Ge , Lance A. Waller

Information criteria such as Akaike's (AIC) and Bayes' (BIC) are widely used for model selection in physics and beyond, quantifying the tradeoff between model complexity and goodness-of-fit to enforce parsimony. However, their derivation…

Dynamical Systems · Mathematics 2025-11-20 Kumar Utkarsh , Daniel M. Abrams

Configurational entropy (CE) and configurational complexity (CC) are recently popularized information theoretic measures used to study the stability of solitons. This paper examines their behavior for 2D and 3D lattice Ising Models, where…

Statistical Mechanics · Physics 2025-03-06 Damian R Sowinski , Sean Kelty , Gourab Ghoshal

Bound-to-Bound Data Collaboration (B2BDC) provides a natural framework for addressing both forward and inverse uncertainty quantification problems. In this approach, QOI (quantity of interest) models are constrained by related experimental…

Optimization and Control · Mathematics 2019-04-02 Arun Hegde , Wenyu Li , James Oreluk , Andrew Packard , Michael Frenklach

We consider a nonparametric Bayesian approach to estimation and testing for a multivariate monotone density. Instead of following the conventional Bayesian route of putting a prior distribution complying with the monotonicity restriction,…

Statistics Theory · Mathematics 2023-06-09 Kang Wang , Subhashis Ghosal

Cross-domain sentiment analysis (CDSA) helps to address the problem of data scarcity in scenarios where labelled data for a domain (known as the target domain) is unavailable or insufficient. However, the decision to choose a domain (known…

Computation and Language · Computer Science 2020-04-10 Akash Sheoran , Diptesh Kanojia , Aditya Joshi , Pushpak Bhattacharyya

This paper considers the problem of approximating a density when it can be evaluated up to a normalizing constant at a limited number of points. We call this problem the Boltzmann approximation (BA) problem. The BA problem is ubiquitous in…

Methodology · Statistics 2020-10-08 Youngjun Choe , Yen-Chi Chen , Nick Terry

Existing domain adaptation methods assume that domain discrepancies are caused by a few discrete attributes and variations, e.g., art, real, painting, quickdraw, etc. We argue that this is not realistic as it is implausible to define the…

Computer Vision and Pattern Recognition · Computer Science 2022-08-30 Yinsong Xu , Zhuqing Jiang , Aidong Men , Yang Liu , Qingchao Chen

While deep learning models excel at predictive tasks, they often overfit due to their complex structure and large number of parameters, causing them to memorize training data, including noise, rather than learn patterns that generalize to…

Machine Learning · Computer Science 2025-09-29 Joshua Salim , Jordan Yu , Xilei Zhao

Invariant approaches have been remarkably successful in tackling the problem of domain generalization, where the objective is to perform inference on data distributions different from those used in training. In our work, we investigate…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Abhimanyu Dubey , Vignesh Ramanathan , Alex Pentland , Dhruv Mahajan

In practice, data often contain discrete variables. But most of the popular nonparametric estimation methods have been developed in a purely continuous framework. A common trick among practitioners is to make discrete variables continuous…

Methodology · Statistics 2018-01-08 Thomas Nagler

Domain generalization methods aim to learn models robust to domain shift with data from a limited number of source domains and without access to target domain samples during training. Popular domain alignment methods for domain…

Machine Learning · Computer Science 2022-06-17 Wenyu Zhang , Mohamed Ragab , Chuan-Sheng Foo

A probability distribution over the Boolean cube is monotone if flipping the value of a coordinate from zero to one can only increase the probability of an element. Given samples of an unknown monotone distribution over the Boolean cube, we…

Data Structures and Algorithms · Computer Science 2020-02-11 Ronitt Rubinfeld , Arsen Vasilyan

Inferring unknown conic sections on the basis of noisy data is a challenging problem with applications in computer vision. A major limitation of the currently available methods for conic sections is that estimation methods rely on the…

Methodology · Statistics 2020-03-05 Subharup Guha , Sujit K. Ghosh

A powerful approach to detecting erroneous data is to check which potentially dirty data records are incompatible with a user's domain knowledge. Previous approaches allow the user to specify domain knowledge in the form of logical…

Databases · Computer Science 2019-02-27 Jing Nathan Yan , Oliver Schulte , Jiannan Wang , Reynold Cheng

Motivated by global warming issues, we consider a time se- ries that consists of a nondecreasing trend observed with station- ary fluctuations, nonparametric estimation of the trend under monotonicity assumption is considered. The rescaled…

Statistics Theory · Mathematics 2008-12-18 Ou Zhao , Michael Woodroofe

Domain generalization aims to learn knowledge invariant across different distributions while semantically meaningful for downstream tasks from multiple source domains, to improve the model's generalization ability on unseen target domains.…

Machine Learning · Computer Science 2021-06-03 Yunqi Wang , Furui Liu , Zhitang Chen , Qing Lian , Shoubo Hu , Jianye Hao , Yik-Chung Wu